For specifying a straight line, how many geometrical parameters should be known?

The point $(4,1)$ undergoes the following two successive transformations

(i) Reflection about the line $y=x$

(ii) Translation through a distance 2 units along the positive $X$-axis.

Then, the final coordinates of the point are

A point equidistant from the lines $4 x+3 y+10=0,5 x-12 y+26=0$ and $7 x+24 y-50=0$ is

A line passes through $(2,2)$ and is perpendicular to the line $3 x+y=3$. Its $y$-intercept is

The ratio in which the line $3 x+4 y+2=0$ divides the distance between the lines $3 x+4 y+5=0$ and $3 x+4 y-5=0$ is